The temperaments listed are 34edo-distinct, meaning that they are all different even if tuned in 34edo. The ordering is by increasing complexity of 5. The temperament of lowest TE complexity supported by the 34d val, <<34 54 79 96 118 126||, was chosen as the representative for each class of edo-distinctness.

5-limit temperaments

Period generator	Wedgie	Name	Complexity	Commas
34 11	<<8 1 -17]]	Würschmidt	3.958	393216/390625
17 6	<<18 -2 -45]]		9.648	35184372088832/34332275390625
34 15	<<10 -3 -28]]	Mabila	5.755	268435456/263671875
17 3	<<2 -4 -11]]	Srutal	2.121	2048/2025
34 9	<<6 5 -6]]	Hanson	2.685	15625/15552
17 2	<<14 6 -23]]	Vishnu	6.423	6115295232/6103515625
34 13	<<12 -7 -39]]		7.718	549755813888/533935546875
17 7	<<30 8 -57]]		14.26	945539748965690376192/931322574615478515625
34 5	<<4 9 5]]	Tetracot	2.783	20000/19683
17 8	<<22 24 -13]]		10.198	2384185791015625/2313662762852352
34 1	<<14 23 4]]		7.688	97656250000/94143178827
17 1	<<6 22 21]]		6.749	32768000000/31381059609
34 7	<<2 13 16]]	Immunity	4.157	1638400/1594323
17 4	<<10 14 -1]]	Fifive	5.041	9765625/9565938
34 3	<<16 19 -7]]		7.583	152587890625/148769467776
17 5	<<26 16 -35]]	Quatracot	11.648	1490116119384765625/1479074071160291328
2 1	<<0 17 27]]		5.984	134217728/129140163

7-limit temperaments

Period generator	Wedgie	Name	Complexity	Commas
34 11	<<8 1 18 -17 6 39]]	Würschmidt	4.578	225/224 8748/8575
17 6	<<16 2 2 -34 -42 -1]]		6.802	50/49 393216/390625
34 15	<<10 -3 14 -28 -6 41]]	Amavil	5.254	225/224 17496/16807
17 3	<<2 -4 -4 -11 -12 2]]	Pajara	1.953	50/49 64/63
34 9	<<6 5 22 -6 18 37]]	Catakleismic	4.684	225/224 4375/4374
17 2	<<14 6 6 -23 -30 -3]]		5.385	50/49 110592/109375
34 13	<<12 -7 10 -39 -18 43]]		6.472	225/224 124416/117649
17 7	<<4 26 26 32 30 -13]]		7.556	50/49 1605632/1594323
34 5	<<4 9 -8 5 -24 -44]]	Modus	4.203	50/49 1605632/1594323
17 8	<<12 10 10 -12 -18 -5]]		4.400	50/49 15625/15552
34 1	<<14 23 6 4 -30 -51]]		6.935	3200/3087 4375/4374
17 1	<<6 22 22 21 18 -11]]		6.018	50/49 177147/175616
34 7	<<2 13 -4 16 -12 -46]]	Immunized	4.300	64/63 8748/8575
17 4	<<10 14 14 -1 -6 -7]]	Crepuscular	4.165	50/49 4375/4374
34 3	<<16 19 2 -7 -42 -49]]		7.287	3200/3087 15625/15309
17 5	<<8 18 18 10 6 -9]]		4.792	50/49 19683/19208
2 1	<<0 17 0 27 0 -48]]		5.191	64/63 17496/16807

11-limit temperaments

Period generator	Wedgie	Name	Complexity	Commas
34 11	<<8 1 18 20 -17 6 4 39 43 -6]]	Würschmidt	4.344	99/98 176/175 243/242
17 6	<<16 2 2 6 -34 -42 -46 -1 7 10]]		5.940	50/49 176/175 1344/1331
34 15	<<10 -3 14 8 -28 -6 -22 41 29 -26]]	Amavil	4.553	99/98 176/175 864/847
17 3	<<2 -4 -4 -12 -11 -12 -26 2 -14 -20]]	Pajara	2.543	50/49 99/98 176/175
34 9	<<6 5 -12 -2 -6 -36 -24 -42 -22 36]]	Catalan	4.331	64/63 100/99 1331/1323
17 2	<<14 6 6 18 -23 -30 -20 -3 21 30]]		4.804	50/49 176/175 1331/1323
34 13	<<12 -7 10 -4 -39 -18 -48 43 15 -46]]		5.960	50/49 176/175 1331/1323
17 7	<<4 -8 -8 10 -22 -24 2 4 51 56]]		4.167	50/49 64/63 243/242
34 5	<<4 9 -8 10 5 -24 2 -44 -8 56]]	Modus	3.857	64/63 100/99 243/242
17 8	<<12 10 10 30 -12 -18 6 -5 35 50]]		4.879	50/49 176/175 243/242
34 1	<<14 23 6 18 4 -30 -20 -51 -38 30]]		6.007	100/99 352/343 864/847
17 1	<<6 -12 -12 -2 -33 -36 -24 6 37 36]]		5.104	50/49 64/63 1331/1323
34 7	<<2 13 -4 -12 16 -12 -26 -46 -73 -20]]	Immunized	4.820	64/63 99/98 1944/1925
17 4	<<10 14 14 8 -1 -6 -22 -7 -30 -26]]	Crepuscular	3.829	50/49 99/98 1944/1925
34 3	<<16 19 2 6 -7 -42 -46 -49 -52 10]]		6.595	100/99 352/343 1344/1331
17 5	<<8 18 18 20 10 6 4 -9 -16 -6]]		4.196	50/49 99/98 243/242
2 1	<<0 17 0 0 27 0 0 -48 -59 0]]		4.643	64/63 99/98 243/242

13-limit temperaments

Period generator	Wedgie	Name	Complexity	Commas
34 11	<<8 1 18 20 30 -17 6 4 18 39 43 66 -6 18 30]]		4.700	78/77 99/98 243/242 325/324
17 6	<<16 2 2 6 26 -34 -42 -46 -18 -1 7 53 10 66 68]]		5.878	50/49 144/143 176/175 676/675
34 15	<<10 -3 14 8 12 -28 -6 -22 -18 41 29 39 -26 -18 12]]	Amavil	4.096	78/77 99/98 144/143 176/175
17 3	<<2 -4 -4 -12 -18 -11 -12 -26 -36 2 -14 -27 -20 -36 -18]]	Pajara	3.161	50/49 64/63 99/98 975/968
34 9	<<6 5 22 -2 14 -6 18 -24 0 37 -22 14 -82 -42 56]]	Cataleptic	4.339	78/77 100/99 144/143 676/675
17 2	<<14 6 6 18 10 -23 -30 -20 -36 -3 21 1 30 6 -32]]		4.338	50/49 78/77 144/143 176/175
34 13	<<12 -7 10 -4 -6 -39 -18 -48 -54 43 15 12 -46 -54 -6]]		5.608	78/77 99/98 176/175 1875/1859
17 7	<<4 -8 -8 10 -2 -22 -24 2 -18 4 51 25 56 24 -44]]		3.732	50/49 78/77 144/143 676/675
34 5	<<4 9 -8 10 -2 5 -24 2 -18 -44 -8 -38 56 24 -44]]	Modus	3.607	64/63 78/77 100/99 144/143
17 8	<<12 10 10 30 28 -12 -18 6 0 -5 35 28 50 42 -14]]		4.644	50/49 78/77 176/175 243/242
34 1	<<14 23 6 18 10 4 -30 -20 -36 -51 -38 -62 30 6 -32]]		5.565	78/77 100/99 144/143 352/343
17 1	<<6 -12 -12 -2 -20 -33 -36 -24 -54 6 37 -2 36 -12 -62]]		5.159	50/49 64/63 78/77 1331/1323
34 7	<<2 13 -4 22 16 16 -12 28 18 -46 6 -11 76 60 -26]]		4.520	64/63 78/77 100/99 676/675
17 4	<<10 14 14 8 12 -1 -6 -22 -18 -7 -30 -24 -26 -18 12]]	Crepuscular	3.447	50/49 78/77 99/98 144/143
34 3	<<16 19 2 6 26 -7 -42 -46 -18 -49 -52 -10 10 66 68]]		6.130	100/99 144/143 275/273 1248/1225
17 5	<<8 18 18 20 30 10 6 4 18 -9 -16 3 -6 18 30]]		4.162	50/49 78/77 99/98 243/242
2 1	<<0 17 0 0 0 27 0 0 0 -48 -59 -63 0 0 0]]		4.238	64/63 78/77 99/98 144/143